Find the value of k for which the roots of the equation 3x2-10x+k=0 are reciprocal of each other.

Find the value of k for which the roots of the equation 3x2-10x+k=0 ar

1.	Find the value of k for which the roots of the equation 3x2-10x+k=0 are reciprocal of each other.
Answer» K=3 Answer:The value of k is 3.Step-by-step explanation:The given quadratic equation isIt is given that one root of this quadratic equation is reciprocal of the other.Let the roots be .We know that, ....(1) ....(2)Using equation (2) we getMultiply both sides by 3.Therefore the value of k is 3.